The Bochner-Kolmogorov extension theorem for semispectral measures
The Feynman integral and Feynman's operational calculus: a heuristic and mathematical introduction
The (sub/super)additivity assertion of Choquet
The assertion in question comes from the short final section in Theory of capacities of Choquet (1953/54), in connection with his prototype of the subsequent Choquet integral. The problem was whether and when this operation is additive. Choquet had the much more abstract idea that all functionals in a certain wide class must be subadditive, and similarly for superadditivity. His treatment of this point was more like an outline, and his proof limited to a rather narrow special case. Thus the proper...
The symmetric Choquet integral with respect to Riesz-space-valued capacities
A definition of “Šipoš integral” is given, similarly to [3],[5],[10], for real-valued functions and with respect to Dedekind complete Riesz-space-valued “capacities”. A comparison of Choquet and Šipoš-type integrals is given, and some fundamental properties and some convergence theorems for the Šipoš integral are proved.
Transportation Cost for Gaussian and Other Product Measures.